Détail de l'auteur
Auteur Dennis S. BERNSTEIN |
Documents disponibles écrits par cet auteur (2)
Scalar, Vector, and Matrix Mathematics : Theory, Facts, and Formulas - Revised and Expanded Edition / Dennis S. BERNSTEIN / Princeton University Press (2018)
Titre : Scalar, Vector, and Matrix Mathematics : Theory, Facts, and Formulas - Revised and Expanded Edition Type de document : e-book Auteurs : Dennis S. BERNSTEIN Editeur : Princeton University Press Année de publication : 2018 ISBN/ISSN/EAN : 9780691151205 Note générale : copyrighted Langues : Anglais (eng) Résumé :
The essential reference book on matrices?now fully updated and expanded, with new material on scalar and vector mathematics
Since its initial publication, this book has become the essential reference for users of matrices in all branches of engineering, science, and applied mathematics. In this revised and expanded edition, Dennis Bernstein combines extensive material on scalar and vector mathematics with the latest results in matrix theory to make this the most comprehensive, current, and easy-to-use book on the subject.
Each chapter describes relevant theoretical background followed by specialized results. Hundreds of identities, inequalities, and facts are stated clearly and rigorously, with cross-references, citations to the literature, and helpful comments. Beginning with preliminaries on sets, logic, relations, and functions, this unique compendium covers all the major topics in matrix theory, such as transformations and decompositions, polynomial matrices, generalized inverses, and norms. Additional topics include graphs, groups, convex functions, polynomials, and linear systems. The book also features a wealth of new material on scalar inequalities, geometry, combinatorics, series, integrals, and more.
Now more comprehensive than ever, Scalar, Vector, and Matrix Mathematics includes a detailed list of symbols, a summary of notation and conventions, an extensive bibliography and author index with page references, and an exhaustive subject index.
Fully updated and expanded with new material on scalar and vector mathematics
Covers the latest results in matrix theory
Provides a list of symbols and a summary of conventions for easy and precise use
Includes an extensive bibliography with back-referencing plus an author index
Nombre d'accès : Illimité En ligne : http://library.ez.neoma-bs.fr/login?url=https://www.scholarvox.com/book/88867052 Permalink : https://cataloguelibrary.neoma-bs.fr/index.php?lvl=notice_display&id=484642 Matrix Mathematics : Theory, Facts, and Formulas Ed. 2 / Dennis S. BERNSTEIN / Princeton University Press (2009)
Titre : Matrix Mathematics : Theory, Facts, and Formulas Ed. 2 Type de document : e-book Auteurs : Dennis S. BERNSTEIN Editeur : Princeton University Press Année de publication : 2009 ISBN/ISSN/EAN : 9780691132877 Note générale : copyrighted Langues : Anglais (eng) Résumé : When first published in 2005, Matrix Mathematics quickly became the essential reference book for users of matrices in all branches of engineering, science, and applied mathematics. In this fully updated and expanded edition, the author brings together the latest results on matrix theory to make this the most complete, current, and easy-to-use book on matrices. Each chapter describes relevant background theory followed by specialized results. Hundreds of identities, inequalities, and matrix facts are stated clearly and rigorously with cross references, citations to the literature, and illuminating remarks. Beginning with preliminaries on sets, functions, and relations,Matrix Mathematics covers all of the major topics in matrix theory, including matrix transformations; polynomial matrices; matrix decompositions; generalized inverses; Kronecker and Schur algebra; positive-semidefinite matrices; vector and matrix norms; the matrix exponential and stability theory; and linear systems and control theory. Also included are a detailed list of symbols, a summary of notation and conventions, an extensive bibliography and author index with page references, and an exhaustive subject index. This significantly expanded edition of Matrix Mathematics features a wealth of new material on graphs, scalar identities and inequalities, alternative partial orderings, matrix pencils, finite groups, zeros of multivariable transfer functions, roots of polynomials, convex functions, and matrix norms. Covers hundreds of important and useful results on matrix theory, many never before available in any book Provides a list of symbols and a summary of conventions for easy use Includes an extensive collection of scalar identities and inequalities Features a detailed bibliography and author index with page references Includes an exhaustive subject index with cross-referencing Dennis S. Bernstein is professor of aerospace engineering at the University of Michigan. Nombre d'accès : Illimité En ligne : http://library.ez.neoma-bs.fr/login?url=https://www.scholarvox.com/book/88807804 Permalink : https://cataloguelibrary.neoma-bs.fr/index.php?lvl=notice_display&id=533333
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